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382016

A new multivalued contraction and stability of its fixed point sets

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Last updated: 05 Jan 2025

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Abstract

In this paper we obtain some stability results for fixed point sets associated with a
sequence of multivalued mappings. We define multivalued a–w contractions and multivalued
a-admissible mappings. We use Hausdorff distance in our definition. We show that the fixed point
sets of uniformly convergent sequences of multivalued a–w contractions which are also assumed to
be multivalued a-admissible, are stable under certain conditions. The multivalued mappings we
define here are not necessarily continuous. We present two illustrative examples and one open
problem. 

DOI

10.1016/j.joems.2014.05.004

Keywords

Metric space, Fixed point set, Hausdorff metric, Multivalued a–w contraction, stability

Authors

First Name

Binayak S.

Last Name

Choudhury

MiddleName

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Affiliation

Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah 711103, India

Email

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City

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Orcid

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First Name

Chaitali

Last Name

Bandyopadhyay

MiddleName

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Affiliation

Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah 711103, India

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Volume

23

Article Issue

2

Related Issue

50528

Issue Date

2015-07-01

Receive Date

2024-09-26

Publish Date

2015-07-01

Page Start

321

Page End

325

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 2_Pages 321-325.pdf

PDF . 429.0kB

Link

https://joems.journals.ekb.eg/article_382016.html

Detail API

https://joems.journals.ekb.eg/service?article_code=382016

Order

382,016

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

A new multivalued contraction and stability of its fixed point sets

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Article

Created At

21 Dec 2024